{"id":"https://openalex.org/W2063958776","doi":"https://doi.org/10.1007/s10589-007-9050-z","title":"Structured minimal-memory inexact quasi-Newton method and secant preconditioners for augmented Lagrangian optimization","display_name":"Structured minimal-memory inexact quasi-Newton method and secant preconditioners for augmented Lagrangian optimization","publication_year":2007,"publication_date":"2007-06-22","ids":{"openalex":"https://openalex.org/W2063958776","doi":"https://doi.org/10.1007/s10589-007-9050-z","mag":"2063958776"},"language":"en","primary_location":{"id":"doi:10.1007/s10589-007-9050-z","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s10589-007-9050-z","pdf_url":null,"source":{"id":"https://openalex.org/S39243548","display_name":"Computational Optimization and Applications","issn_l":"0926-6003","issn":["0926-6003","1573-2894"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Computational Optimization and Applications","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"http://dx.doi.org/10.1007/s10589-007-9050-z","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5087290455","display_name":"Ernesto G. Birgin","orcid":"https://orcid.org/0000-0002-7466-7663"},"institutions":[{"id":"https://openalex.org/I17974374","display_name":"Universidade de S\u00e3o Paulo","ror":"https://ror.org/036rp1748","country_code":"BR","type":"education","lineage":["https://openalex.org/I17974374"]}],"countries":["BR"],"is_corresponding":true,"raw_author_name":"E. G. Birgin","raw_affiliation_strings":["Department of Computer Science IME-USP, University of S\u00e3o Paulo, Rua do Mat\u00e3o 1010, Cidade Universit\u00e1ria, 05508-090, S\u00e3o Paulo, SP, Brazil","Department of Computer Science IME-USP, University of S\u00e3o Paulo, S\u00e3o Paulo, Brazil","Department of Computer Science IME-USP, University of S\u00e3o Paulo, S\u00e3o Paulo, Brazil 05508-090#TAB#"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Computer Science IME-USP, University of S\u00e3o Paulo, Rua do Mat\u00e3o 1010, Cidade Universit\u00e1ria, 05508-090, S\u00e3o Paulo, SP, Brazil","institution_ids":["https://openalex.org/I17974374"]},{"raw_affiliation_string":"Department of Computer Science IME-USP, University of S\u00e3o Paulo, S\u00e3o Paulo, Brazil","institution_ids":["https://openalex.org/I17974374"]},{"raw_affiliation_string":"Department of Computer Science IME-USP, University of S\u00e3o Paulo, S\u00e3o Paulo, Brazil 05508-090#TAB#","institution_ids":["https://openalex.org/I17974374"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5066019994","display_name":"J. M. Mart\u0131\u0301nez","orcid":"https://orcid.org/0000-0003-3331-368X"},"institutions":[{"id":"https://openalex.org/I181391015","display_name":"Universidade Estadual de Campinas (UNICAMP)","ror":"https://ror.org/04wffgt70","country_code":"BR","type":"education","lineage":["https://openalex.org/I181391015"]}],"countries":["BR"],"is_corresponding":false,"raw_author_name":"J. M. Mart\u00ednez","raw_affiliation_strings":["Department of Applied Mathematics, IMECC-UNICAMP, University of Campinas, CP 6065, 13081-970, Campinas, SP, Brazil","Department of Applied Mathematics, IMECC-UNICAMP, University of Campinas, Campinas, Brazil","Department of Applied Mathematics, IMECC-UNICAMP, University of Campinas, Campinas, Brazil 13081-970"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Applied Mathematics, IMECC-UNICAMP, University of Campinas, CP 6065, 13081-970, Campinas, SP, Brazil","institution_ids":["https://openalex.org/I181391015"]},{"raw_affiliation_string":"Department of Applied Mathematics, IMECC-UNICAMP, University of Campinas, Campinas, Brazil","institution_ids":["https://openalex.org/I181391015"]},{"raw_affiliation_string":"Department of Applied Mathematics, IMECC-UNICAMP, University of Campinas, Campinas, Brazil 13081-970","institution_ids":["https://openalex.org/I181391015"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5087290455"],"corresponding_institution_ids":["https://openalex.org/I17974374"],"apc_list":{"value":2390,"currency":"EUR","value_usd":2990},"apc_paid":null,"fwci":7.6326,"has_fulltext":false,"cited_by_count":38,"citation_normalized_percentile":{"value":0.97946804,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":89,"max":98},"biblio":{"volume":"39","issue":"1","first_page":"1","last_page":"16"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10963","display_name":"Advanced Optimization Algorithms Research","score":0.9998999834060669,"subfield":{"id":"https://openalex.org/subfields/2612","display_name":"Numerical Analysis"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T10963","display_name":"Advanced Optimization Algorithms Research","score":0.9998999834060669,"subfield":{"id":"https://openalex.org/subfields/2612","display_name":"Numerical Analysis"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T12661","display_name":"Iterative Methods for Nonlinear Equations","score":0.9990000128746033,"subfield":{"id":"https://openalex.org/subfields/2612","display_name":"Numerical Analysis"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T10792","display_name":"Matrix Theory and Algorithms","score":0.9972000122070312,"subfield":{"id":"https://openalex.org/subfields/1703","display_name":"Computational Theory and Mathematics"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/augmented-lagrangian-method","display_name":"Augmented Lagrangian method","score":0.884402871131897},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.7131021618843079},{"id":"https://openalex.org/keywords/newtons-method","display_name":"Newton's method","score":0.6795991659164429},{"id":"https://openalex.org/keywords/quasi-newton-method","display_name":"Quasi-Newton method","score":0.6026899814605713},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.562953770160675},{"id":"https://openalex.org/keywords/minification","display_name":"Minification","score":0.5614987015724182},{"id":"https://openalex.org/keywords/penalty-method","display_name":"Penalty method","score":0.558735191822052},{"id":"https://openalex.org/keywords/newtons-method-in-optimization","display_name":"Newton's method in optimization","score":0.5402486324310303},{"id":"https://openalex.org/keywords/constraint","display_name":"Constraint (computer-aided design)","score":0.5242457985877991},{"id":"https://openalex.org/keywords/function","display_name":"Function (biology)","score":0.462594211101532},{"id":"https://openalex.org/keywords/constrained-optimization","display_name":"Constrained optimization","score":0.4277309775352478},{"id":"https://openalex.org/keywords/lagrangian","display_name":"Lagrangian","score":0.4156222939491272},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.3608928322792053},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.3512437343597412},{"id":"https://openalex.org/keywords/local-convergence","display_name":"Local convergence","score":0.22182592749595642},{"id":"https://openalex.org/keywords/iterative-method","display_name":"Iterative method","score":0.17987820506095886},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.06826457381248474}],"concepts":[{"id":"https://openalex.org/C150452318","wikidata":"https://www.wikidata.org/wiki/Q4820432","display_name":"Augmented Lagrangian method","level":2,"score":0.884402871131897},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7131021618843079},{"id":"https://openalex.org/C85189116","wikidata":"https://www.wikidata.org/wiki/Q374195","display_name":"Newton's method","level":3,"score":0.6795991659164429},{"id":"https://openalex.org/C114954040","wikidata":"https://www.wikidata.org/wiki/Q1476018","display_name":"Quasi-Newton method","level":4,"score":0.6026899814605713},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.562953770160675},{"id":"https://openalex.org/C147764199","wikidata":"https://www.wikidata.org/wiki/Q6865248","display_name":"Minification","level":2,"score":0.5614987015724182},{"id":"https://openalex.org/C6180225","wikidata":"https://www.wikidata.org/wiki/Q3411771","display_name":"Penalty method","level":2,"score":0.558735191822052},{"id":"https://openalex.org/C179127668","wikidata":"https://www.wikidata.org/wiki/Q17086396","display_name":"Newton's method in optimization","level":4,"score":0.5402486324310303},{"id":"https://openalex.org/C2776036281","wikidata":"https://www.wikidata.org/wiki/Q48769818","display_name":"Constraint (computer-aided design)","level":2,"score":0.5242457985877991},{"id":"https://openalex.org/C14036430","wikidata":"https://www.wikidata.org/wiki/Q3736076","display_name":"Function (biology)","level":2,"score":0.462594211101532},{"id":"https://openalex.org/C55660270","wikidata":"https://www.wikidata.org/wiki/Q5164377","display_name":"Constrained optimization","level":2,"score":0.4277309775352478},{"id":"https://openalex.org/C53469067","wikidata":"https://www.wikidata.org/wiki/Q505735","display_name":"Lagrangian","level":2,"score":0.4156222939491272},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.3608928322792053},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.3512437343597412},{"id":"https://openalex.org/C117898588","wikidata":"https://www.wikidata.org/wiki/Q6664310","display_name":"Local convergence","level":3,"score":0.22182592749595642},{"id":"https://openalex.org/C159694833","wikidata":"https://www.wikidata.org/wiki/Q2321565","display_name":"Iterative method","level":2,"score":0.17987820506095886},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.06826457381248474},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.0},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.0},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.0},{"id":"https://openalex.org/C78458016","wikidata":"https://www.wikidata.org/wiki/Q840400","display_name":"Evolutionary biology","level":1,"score":0.0},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.0}],"mesh":[],"locations_count":5,"locations":[{"id":"doi:10.1007/s10589-007-9050-z","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s10589-007-9050-z","pdf_url":null,"source":{"id":"https://openalex.org/S39243548","display_name":"Computational Optimization and Applications","issn_l":"0926-6003","issn":["0926-6003","1573-2894"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Computational Optimization and Applications","raw_type":"journal-article"},{"id":"pmh:oai:www.producao.usp.br:BDPI/30417","is_oa":false,"landing_page_url":"http://producao.usp.br/handle/BDPI/30417","pdf_url":null,"source":{"id":"https://openalex.org/S4306401373","display_name":"Scientific Electronic Library Online (S\u00e3o Paulo Research Foundation, Latin American and Caribbean Center on Health Sciences Information, Conselho Nacional de Desenvolvimento Cient\u00edfico e Tecnol\u00f3gico)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I2982035970","host_organization_name":"Costa Rican Department of Social Security","host_organization_lineage":["https://openalex.org/I2982035970"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"","raw_type":"article"},{"id":"pmh:001667837","is_oa":true,"landing_page_url":"http://dx.doi.org/10.1007/s10589-007-9050-z","pdf_url":null,"source":{"id":"https://openalex.org/S4306402641","display_name":"LA Referencia (Red Federada de Repositorios Institucionales de Publicaciones Cient\u00edficas)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I4383465926","host_organization_name":"LA Referencia","host_organization_lineage":["https://openalex.org/I4383465926"],"host_organization_lineage_names":[],"type":"repository"},"license":"other-oa","license_id":"https://openalex.org/licenses/other-oa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"reponame:Reposit\u00f3rio Institucional da USP (Biblioteca Digital da Produ\u00e7\u00e3o Intelectual)","raw_type":"info:eu-repo/semantics/publishedVersion"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.68.2261","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.68.2261","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://www.ime.usp.br/~egbirgin/publications/bmalgotan.pdf","raw_type":"text"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.69.7930","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.69.7930","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://www.ime.usp.br/~egbirgin/publications/bmalgotan.ps","raw_type":"text"}],"best_oa_location":{"id":"pmh:001667837","is_oa":true,"landing_page_url":"http://dx.doi.org/10.1007/s10589-007-9050-z","pdf_url":null,"source":{"id":"https://openalex.org/S4306402641","display_name":"LA Referencia (Red Federada de Repositorios Institucionales de Publicaciones Cient\u00edficas)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I4383465926","host_organization_name":"LA Referencia","host_organization_lineage":["https://openalex.org/I4383465926"],"host_organization_lineage_names":[],"type":"repository"},"license":"other-oa","license_id":"https://openalex.org/licenses/other-oa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"reponame:Reposit\u00f3rio Institucional da USP (Biblioteca Digital da Produ\u00e7\u00e3o Intelectual)","raw_type":"info:eu-repo/semantics/publishedVersion"},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":51,"referenced_works":["https://openalex.org/W89654658","https://openalex.org/W1497361805","https://openalex.org/W1502501036","https://openalex.org/W1503393484","https://openalex.org/W1520658537","https://openalex.org/W1546275378","https://openalex.org/W1968553199","https://openalex.org/W1970101292","https://openalex.org/W1973734200","https://openalex.org/W1978100686","https://openalex.org/W1981745143","https://openalex.org/W1982067912","https://openalex.org/W1982203621","https://openalex.org/W1987995897","https://openalex.org/W1991359458","https://openalex.org/W1992688650","https://openalex.org/W2000218110","https://openalex.org/W2000359198","https://openalex.org/W2005126631","https://openalex.org/W2012341322","https://openalex.org/W2016518303","https://openalex.org/W2018215034","https://openalex.org/W2018812345","https://openalex.org/W2037091587","https://openalex.org/W2042613327","https://openalex.org/W2047882513","https://openalex.org/W2050096287","https://openalex.org/W2051311328","https://openalex.org/W2052782332","https://openalex.org/W2053364943","https://openalex.org/W2057624533","https://openalex.org/W2070580109","https://openalex.org/W2076605490","https://openalex.org/W2077658674","https://openalex.org/W2088055586","https://openalex.org/W2092285919","https://openalex.org/W2096263796","https://openalex.org/W2113611197","https://openalex.org/W2149454052","https://openalex.org/W2151898625","https://openalex.org/W2155865164","https://openalex.org/W2157570139","https://openalex.org/W2316564661","https://openalex.org/W2569942938","https://openalex.org/W2798909945","https://openalex.org/W3012317737","https://openalex.org/W3029645440","https://openalex.org/W4212997115","https://openalex.org/W4252894371","https://openalex.org/W4285719527","https://openalex.org/W4293775970"],"related_works":["https://openalex.org/W1788398095","https://openalex.org/W2076134677","https://openalex.org/W1989415423","https://openalex.org/W1948655259","https://openalex.org/W3105202832","https://openalex.org/W4313189992","https://openalex.org/W2615021531","https://openalex.org/W4281493533","https://openalex.org/W2384324993","https://openalex.org/W2063958776"],"abstract_inverted_index":null,"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2024,"cited_by_count":1},{"year":2022,"cited_by_count":1},{"year":2021,"cited_by_count":1},{"year":2020,"cited_by_count":4},{"year":2019,"cited_by_count":1},{"year":2017,"cited_by_count":1},{"year":2016,"cited_by_count":2},{"year":2015,"cited_by_count":2},{"year":2014,"cited_by_count":2},{"year":2012,"cited_by_count":4}],"updated_date":"2026-06-19T17:40:00.097472","created_date":"2025-10-10T00:00:00"}